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Finding the Fourth Proportional to 485.70, 728.55 and 412.80

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Solution

The fourth proportional to 485.70, 728.55 and 412.80 is: 619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.70 : 728.55 = 412.80 : x
  2. Step 2: Convert to fraction form
    485.70/728.55 = 412.80/x
  3. Step 3: Cross multiply
    485.70x = 728.55 × 412.80
  4. Step 4: Simplify right side
    485.70x = 300,745.44
  5. Step 5: Solve for x
    x = 300,745.44/485.70
  6. Step 6: Final answer
    x = 619.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.